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Finding the Fourth Proportional to 774,058, 1,161,099.30 and 294,293.12

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Solution

The fourth proportional to 774,058, 1,161,099.30 and 294,293.12 is: 441,444.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,058 : 1,161,099.30 = 294,293.12 : x
  2. Step 2: Convert to fraction form
    774,058/1,161,099.30 = 294,293.12/x
  3. Step 3: Cross multiply
    774,058x = 1,161,099.30 × 294,293.12
  4. Step 4: Simplify right side
    774,058x = 341,703,535,626.82
  5. Step 5: Solve for x
    x = 341,703,535,626.82/774,058
  6. Step 6: Final answer
    x = 441,444.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.